Parallel variational iterative linear solvers

    Raimondas Čiegis Affiliation
    ; Remigijus Čiegis Affiliation
    ; Alexander Jakušev Affiliation
    ; Gailė Šaltenienė Affiliation


In this work we consider parallel variational algorithms for solution of linear systems. Theoretical analysis explains the superlinear convergence rate for two step gradient descent method. A new modification of the algorithm is proposed. Results of computational experiments are given for a linear system of equations approximating 3D elliptic boundary value problem. All algorithms are implemented using parallel array object tool ParSol, then a parallel algorithm follows semi‐automatically from the serial one. Results of the scalability analysis are presented and the efficiency of the presented parallel algorithm is investigated experimentally.

First Published Online: 14 Oct 2010

Keyword : variational iterative methods, parallel algorithms, linear algebra problems, software tools

How to Cite
Čiegis, R., Čiegis, R., Jakušev, A., & Šaltenienė, G. (2007). Parallel variational iterative linear solvers. Mathematical Modelling and Analysis, 12(1), 1-16.
Published in Issue
Mar 31, 2007
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